MU10931 Algebra I - Exercises

Mathematical Institute in Opava
Winter 2007
Extent and Intensity
0/1/0. 1 credit(s). Type of Completion: z (credit).
Guaranteed by
doc. RNDr. Kristína Smítalová, CSc.
Mathematical Institute in Opava
Course Enrolment Limitations
The course is also offered to the students of the fields other than those the course is directly associated with.
fields of study / plans the course is directly associated with
Course objectives (in Czech)
Předmět je určen k praktickému procvičení a prohloubení znalostí získaných v předmětu Algebra I.
Syllabus (in Czech)
  • Témata:
    1. Tvrzení a důkazy
    2. Množiny, relace a zobrazení
    3. Pologrupy, monoidy, grupy
    4. Homomorfismy
    5. Pole
    6. Permutace
    7. Matice. Elementární úpravy
    8. Matice. Algebraické vlastnosti
    9. Determinanty
    10. Uspořádání a svazy
    11. Vektorové prostory
    12. Vektorové podprostory
Literature
    recommended literature
  • M. Marvan. Algebra I. MÚ SU, Opava, 1999. URL info
  • M. Marvan. Algebra II. MÚ SU,, Opava, 1999. URL info
  • J. Musilová, D. Krupka. Lineární a multilineární algebra. Univerzita J. E. Purkyně v Brně, Brno, 1989. info
  • J. T. Moore. Elements of Linear Algebra and Matrix Theory. McGraw Hill, New York, 1968. info
  • A. G. Kuroš. Kapitoly z obecné algebry. Academia Praha, 1968. info
Language of instruction
Czech
Further comments (probably available only in Czech)
The course can also be completed outside the examination period.
The course is also listed under the following terms Winter 1999, Winter 2000, Winter 2001, Winter 2002, Winter 2003, Winter 2004, Winter 2005, Winter 2006, Winter 2008, Winter 2009, Winter 2010, Winter 2011, Winter 2012, Winter 2013, Winter 2014, Winter 2015, Winter 2016, Winter 2017, Winter 2018, Winter 2019, Winter 2020.
  • Enrolment Statistics (Winter 2007, recent)
  • Permalink: https://is.slu.cz/course/sumu/winter2007/MU10931